What is the Least Common Multiple of 80498 and 80509?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 80498 and 80509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80498 and 80509, than apply into the LCM equation.

GCF(80498,80509) = 11
LCM(80498,80509) = ( 80498 × 80509) / 11
LCM(80498,80509) = 6480813482 / 11
LCM(80498,80509) = 589164862

Least Common Multiple (LCM) of 80498 and 80509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80498 and 80509. First we will calculate the prime factors of 80498 and 80509.

Prime Factorization of 80498

Prime Factorization of 80509

Now multiplying the highest exponent prime factors to calculate the LCM of 80498 and 80509.

LCM(80498,80509) = 2¹ × 11¹ × 3659¹ × 13¹ × 563¹
LCM(80498,80509) = 589164862